How to Find GCF of 3386/631, 8230/9461?

GCF of 3386/631, 8230/9461

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3386/631, 8230/9461 i.e 2/5969891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3386/631, 8230/9461.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3386/631,8230/9461?

Given fractions are 3386/631,8230/9461

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3386/631,8230/9461, numerators are 3386,8230

Denominators are 631,9461

The GCF of 3386,8230 is 2 .

LCM of 631,9461 is 5969891.

The greatest common factor of 3386/631,8230/9461 = [GCF of 3386,8230]/[LCM of 631,9461]= 2/5969891

Therefore, the GCF of 3386/631,8230/9461 is 2/5969891.

Greatest Common Factor of 3386,8230

To find the highest common factor of 3386,8230, we have to find the factors of both numbers and list the highest common factor.

The factors of 3386 are 1, 2, 1693, 3386

The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230

The HCF of 3386,8230 is 2.

Lets's calculate GCF of 3386,8230

Greatest Common Factor (GCF) of 3386,8230 By Common Division

2	3386, 8230
	1693, 4115

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3386,8230 By Matching Biggest Common Factor Method

Now, list down the factors of 3386

1,2,1693,3386

Now, list down the factors of 8230

1,2,5,10,823,1646,4115,8230

Greatest Common Factor

We found the factors 3386,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 3386,8230 is 2.

Lets's calculate LCM of 631,9461

Lowest Common Multiple of 631,9461 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5969891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5969891

Therefore, the GCF of Fractions 3386/631,8230/9461 is 2/5969891

Least Common Multiple of 631,9461 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 631,9461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,9461) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(631,9461) x common factors =1 x 1 = 1

LCM(631,9461) = ( 631 × 9461 ) / 1

LCM(631,9461) = 5969891 / 1

LCM(631,9461) = 5969891

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FAQs on GCF of Fractions of 3386/631, 8230/9461

1. What is the HCF of 3386,8230?

The HCF of 3386,8230 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 3386/631, 8230/9461?

Answer: GCF of Numerators as per given numbers 3386/631, 8230/9461 is

GCF of Numerators i.e. for 3386,8230 is 2

LCM of denominators i.e. for 631,9461 is 5969891.

Thus, GCF of Fractions is 2/5969891.Finally, GCF of Fractions for 3386/631, 8230/9461 is 2/5969891.